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Finding the Fourth Proportional to 3,771.82, 5,658.26 and 1,580.05

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Solution

The fourth proportional to 3,771.82, 5,658.26 and 1,580.05 is: 2,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.82 : 5,658.26 = 1,580.05 : x
  2. Step 2: Convert to fraction form
    3,771.82/5,658.26 = 1,580.05/x
  3. Step 3: Cross multiply
    3,771.82x = 5,658.26 × 1,580.05
  4. Step 4: Simplify right side
    3,771.82x = 8,940,297.52
  5. Step 5: Solve for x
    x = 8,940,297.52/3,771.82
  6. Step 6: Final answer
    x = 2,370.29

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